The Wealth and Well-Being Curves, and Political Freedom: A Mathematical Analysis: Part 1
Subjective Well-Being Index , Political Freedom Measure, Mitscherlich Relationship, Logistic equation, Learning Training and Development, Totalitarian, Authoritarian, Communism, Neo-communism, Putin, Liberal Democracy, Pythagoras Publishing
In a recent newspaper the author came across a scatter plot of Wealth (GDP) versus Well-Being. The distribution is similar to those found in Learning Theory and in a number of Applied Mathematics models. The scatter plot begs a mathematical analysis as well as a correlation to socio-economic measures.
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It would seem reasonable to develop a model that is independent of monetary measures that depend on currency exchange rates and are subject to inflation and other competitive factors.
A plethora of curves can be fitting to this distribution depending on the variables used. Perhaps, to a first approximation a restricted growth algorithm, or Mitscherlich relationship, could be used to describe the distribution.
Based on a careful reading of history, it is evident that there is a continuum of Political Freedom that spans from Totalitarianism at one extreme, to a full and open Liberal Democratic Institutions and the Ecole Suisse at the other extreme. An index that runs from 0 to 3 can be applied to the Continuum of Political Freedom.
To more fully represent a correlation between Wealth and Well-Being, while applying a measure of the Continuum of Political Freedom ( ), we must look beyond the simplicity of the Mitscherlich Relationship. A Logistic equation seems a logical choice.
The form of the SWI Function is similar to mathematical functions that describe Learning, Training and Development. This may be touched upon in a subsequent paper.
In a real sense the SWI function describes the base and the enlightened extremes of human behaviour. One could speculate that the Continuum Measure m is a measure of Informed - Consent, and a measure which represents an Efficiency of Governance.
You will note the anomalous nature of Communist North Korea under Kim and Neo-Communist Russia under Putin, compared to for instance the People's Republic of China.